6. Determine all values of x at which the function is discontinuous. x2- 2x +5 f(x) = x2-4x 0, 4 O 0, -4 -5

Q: Consider the function f(x)=xe−9x,0≤x≤2. On this interval, ff has a minimum value equal to: which is…

A: Given fx=xe-9x 0≤x≤2

Q: b)f(x) = Vx²

A:

Q: 1) Evaluate the absolute extrema of the following functions on the given interval. S(x)=(x² +3x)³…

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Q: 1. To show that +2-4= 0is an implicit solution to do Lon the 2y interval (-oo, 4), i. First convert…

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Q: Find the maximum and minimum values of the function f (x) -3x on the interval 1+x2 0<x<6.

A:

Q: For what value of the constant c is the function f continuous on (-∞, ∞)? ( cx2 + 2x x3 - cx if x <…

A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: 14). a) Consider the function f(x) = x – 2e-* +1 for x 2 0. i) Show that the function is increasing…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Which one of the following is the co-ordinates of the y-intercept of the tangent line to the graph…

A:

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: If f is a differentiable function and such that and g(x) = x+2 / 1+f(x) such that f(0) = -2 and…

A: Given: gx=x+21+fx f0=-2 and f'0=5 We have to find the value of g'0.

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: 4. Given the function f(x) = x3 In x. Determine the following: a. Domain b. X intercept(s)

A:

Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as a differ- entiable function of the…

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Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

A:

Q: 1. Consider the function f(x) = -x² – 4x – 3 a) Determine f(-4), f(a), and f(a+ h).

A:

Q: Find all critical points of the following function. 3. 3 f(x.y)=- + 8xy

A: To find critical points of f(x, y) we find ∂f∂x and ∂f∂y then equate to zero .f(x, y ) =…

Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: 2. Find the x-coordinate of the point(s) of discontinuity of the following functions -16 x3 16х — 4,…

A: For x&lt; 3 , f(x)= -16 is continuousFor 3&lt;x&lt;6 , f(x)=16x-4 is continuous tooFor x&gt;6 ,…

Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: 12. Find the value of k that will ensure that the following function is continuous at x = 3: x² + k…

A: As we know that the function is continuous at x=a if:   limx→a-f(x)=limx→a+f(x)=finite…

Q: For what value of the constant c is the function f continuous on (-o S cx2 + 8x x3 – cx if x 3 с 3

A:

Q: Q3) Detemmine the points of discontinuty, if any, of the following functions : x² +3 (a) x +x+1 4x…

A: See the attachment

Q: Determine all critical points for the function. T(x) = x3 - 3x? + 8 O A. x= - 1 and x = 1 O B. x= 0…

A:

Q: 5. Find the x-coordinates for all points of discontinuity for f(x)- 「X316, xśl x〉 1 2 c. 1, 32d.…

A: First we check the limits as x approaches to 1 from left side and right side .

Q: -1.5 0 1.5 For what value of constant c is the function k(x) continuous at x = 0 if k(x)= No such…

A:

Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

A:

Q: 1. Draw the graphs of the following functions, and evaluate the are between the curven over the…

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Q: If the function f (x) = {_ 4x + 8, x3 is continuous at x = 3, then the value of k is O a. -2 O b. -6…

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Q: 11 Suppose that f:R → R is a continuous function for which f(u) du=12 . | f(2x+3) da . Your answer…

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: 1. Is a function f(x)=√x differentiable at a) X = 1 b) X = 0 c) X = -1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. Determine the given function is continuous or discontinuous at t =-2 (t² + 2 6. t -2

A: Given information : t=-2

Q: 1- x x + 2 (x² – 4 0 < x< 1 1 < x < 3 x 2 3 Find all the points of discontinuity of the function…

A: Here we have to find all the point of discontinuity of the function S(x).

Q: 1) Find the absolute extremum values of f(x) = x2 – 2x + 9 over the interval [1, 2).

A:

Q: 1/ Find the domain of the following functions : 1 1) f(x, y) = x²+y²+z²+16 2) f(x,y) = In(9 - x² –…

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Q: (b) Find values of x, if any at which f is not continuous (2x +3 xs 4 7+ x>4 f(x) = 16

A:

Q: 2. Find the value of k so that the function defined by f(x) Sx² + 20 x 5 continuous at x = = 5.

A: We know that, a function fx is said to be continuous at x=a if and only if Left hand limit=Value of…

Q: Find the absolute maximum and minimum values of f in the given interval. f(x) = x* – 2x² + 1, (-2,…

A:

Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: 1 The function h(x) : can be expressed in the form f(g(x)), where g(x) = (x – 9), and f(x) is %3D x…

A: NOTE: Refresh your page if you can't see any equations. . but here

Q: Find the critical points of the given function. a) f(x) = √2²-4 b) f(x) = 3x + 21-1

A: To find the critical points of the given functions.

Q: 6) Find the value of c such that {0, c} is 2-cycle such that c be a constant and let the function be…

A:

Q: Determine all the critical numbers of the following function: f(x)= x² + 10x+25 a. None of these. b.…

A: Let us consider a function f(x). To get critical points of f(x) we put f'(x)=0

Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Q: 1 You are given the function f(x) = x2+7 f(x) is concave up whenever:

A:

Q: Show that the following functions has a solution on the indicated intervals f(x)=x³ + 2x = x² + 1…

A: solution:- f(x)=x³+ 2x =x² + 1,      x∈ (0,1)f(x)=x³+ 2x -x² - 1=0Intermediate value theoremf(x) is…

Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x -7 on the interval [1, 5], how many…

A: